As people have said, you're better off taking the course first before trying to muck around with forms and everything. If all goes well you can end up doing it pretty quick.
I missed the early courses this summer, most were full by the time I tried to sign up. Found one at the end of June, 4 days before it was about to take place.
Passed both courses over the weekend, mailed the app in, they got it on July 5th.
Called in the week later, on the 11th, fixed an issue on the app and did the interview. References called in the same day.
License issued August 2nd, just waiting for it in the mail (I bet they're walking it all the way from NB though).
TL;DR: If you're lucky you can get it from scratch in just under 2 months. Try not to listen too much to the horror stories of ridiculous wait times, it'll just get you down.